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Two forces 3N and 1N act on a particle the resultant when they act right angle is?
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Resultant of Two Forces at Right Angle
When two forces act on a particle at right angles, we can use the Pythagorean theorem to find the resultant force.
Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Finding the Resultant Force
To find the resultant force of two forces at right angles, we can use the Pythagorean theorem as follows:
- Square each of the forces: 3N x 3N = 9N^2 and 1N x 1N = 1N^2
- Add the squared forces: 9N^2 + 1N^2 = 10N^2
- Take the square root of the sum: sqrt(10N^2) = 3.16N
Therefore, the resultant force of the two forces 3N and 1N acting on a particle at right angles is 3.16N.
Explanation
When two forces act on a particle at right angles, they are perpendicular to each other. This means that they are independent of each other, and their effects are not additive. Instead, we have to use the Pythagorean theorem to find the magnitude of the resultant force.
The Pythagorean theorem is a mathematical formula that relates the lengths of the sides of a right triangle. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In the case of two forces acting at right angles, we can apply the Pythagorean theorem to find the magnitude of the resultant force.
To do this, we square each of the forces, add the squared forces, and then take the square root of the sum. The resulting value is the magnitude of the resultant force. In this case, the resultant force is 3.16N.
Conclusion
When two forces act on a particle at right angles, we can use the Pythagorean theorem to find the magnitude of the resultant force. This involves squaring each of the forces, adding the squared forces, and then taking the square root of the sum. The resulting value is the magnitude of the resultant force.
When two forces act on a particle at right angles, we can use the Pythagorean theorem to find the resultant force.
Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Finding the Resultant Force
To find the resultant force of two forces at right angles, we can use the Pythagorean theorem as follows:
- Square each of the forces: 3N x 3N = 9N^2 and 1N x 1N = 1N^2
- Add the squared forces: 9N^2 + 1N^2 = 10N^2
- Take the square root of the sum: sqrt(10N^2) = 3.16N
Therefore, the resultant force of the two forces 3N and 1N acting on a particle at right angles is 3.16N.
Explanation
When two forces act on a particle at right angles, they are perpendicular to each other. This means that they are independent of each other, and their effects are not additive. Instead, we have to use the Pythagorean theorem to find the magnitude of the resultant force.
The Pythagorean theorem is a mathematical formula that relates the lengths of the sides of a right triangle. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In the case of two forces acting at right angles, we can apply the Pythagorean theorem to find the magnitude of the resultant force.
To do this, we square each of the forces, add the squared forces, and then take the square root of the sum. The resulting value is the magnitude of the resultant force. In this case, the resultant force is 3.16N.
Conclusion
When two forces act on a particle at right angles, we can use the Pythagorean theorem to find the magnitude of the resultant force. This involves squaring each of the forces, adding the squared forces, and then taking the square root of the sum. The resulting value is the magnitude of the resultant force.
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Two forces 3N and 1N act on a particle the resultant when they act right angle is?
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Two forces 3N and 1N act on a particle the resultant when they act right angle is? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two forces 3N and 1N act on a particle the resultant when they act right angle is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two forces 3N and 1N act on a particle the resultant when they act right angle is?.
Two forces 3N and 1N act on a particle the resultant when they act right angle is? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two forces 3N and 1N act on a particle the resultant when they act right angle is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two forces 3N and 1N act on a particle the resultant when they act right angle is?.
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